Solve and graph the solution to the inequality-6n+3>21

To solve the inequality -6n + 3 > 21, we can start by subtracting 3 from both sides:

-6n > 18.

Next, we can divide both sides of the inequality by -6. However, since we are dividing by a negative number, the inequality sign will flip:

n < 18/-6.

Simplifying, we get:
n < -3.

To graph the solution, we need to represent all values of n that are less than -3. We can do this by graphing a number line and shading the region to the left of -3.